A particular solution of a painlevé system in terms of the hypergeometric function n+1Fn

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volumn 6, Issue , 2010, Pages

  Suzuki, Takao ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Affine Weyl group; Generalized hypergeometric functions; Painlev equations

Indexed keywords

EID: 84896058638     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2010.078     Document Type: Article

References (6)

1. Fuji K., Suzuki T., Drinfeld-Sokolov hierarchies of type A and fourth order Painlevé systems, Funkcial. Ekvac. 53 (2010), 143-167, arXiv:0904.3434.
2. Iwasaki K., Kimura H., Shimomura S., Yoshida M., From Gauss to Painlevé. A modern theory of special functions, Aspects of Mathematics, Vol. E16, Friedr. Vieweg & Sohn, Braunschweig, 1991.
3. Okubo K., Takano K., Yoshida S., A connection problem for the generalized hypergeometric equation, Funkcial. Ekvac. 31 (1988), 483-495.
4. Suzuki T., A class of higher order Painlevé systems arising from integrable hierarchies of type A, arXiv:1002.2685.
5. Sakai H., Private communication.
6. Tsuda T., UC hierarchy and monodromy preserving deformation, arXiv:1007.3450.